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132220304353203 = 31128910959363317
BaseRepresentation
bin11110000100000011110000…
…010001011110011110110011
3122100011010201100100211120220
4132010003300101132132303
5114312244140403300303
61145113100321504123
736564413254260543
oct3604036021363663
9570133640324526
10132220304353203
1139147352916300
12129b52204a2043
1358a14238a66b1
1424916d55dd323
151044548335053
hex7840f045e7b3

132220304353203 has 96 divisors (see below), whose sum is σ = 198089045985600. Its totient is φ = 78372605583360.

The previous prime is 132220304353021. The next prime is 132220304353223. The reversal of 132220304353203 is 302353403022231.

It is a happy number.

It is not a de Polignac number, because 132220304353203 - 28 = 132220304352947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (132220304353223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2088195901 + ... + 2088259217.

It is an arithmetic number, because the mean of its divisors is an integer number (2063427562350).

Almost surely, 2132220304353203 is an apocalyptic number.

132220304353203 is a deficient number, since it is larger than the sum of its proper divisors (65868741632397).

132220304353203 is a wasteful number, since it uses less digits than its factorization.

132220304353203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64133 (or 64122 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

Adding to 132220304353203 its reverse (302353403022231), we get a palindrome (434573707375434).

The spelling of 132220304353203 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred four million, three hundred fifty-three thousand, two hundred three".

Divisors: 1 3 11 33 89 109 121 267 327 363 593 979 1199 1779 2937 3597 6523 9701 10769 13189 19569 29103 32307 39567 52777 63317 64637 71753 106711 158331 189951 193911 215259 320133 580547 696487 711007 1173821 1741641 2089461 2133021 3521463 5635213 5752693 6386017 6901553 7661357 7821077 16905639 17258079 19158051 20704659 22984071 23463231 37546981 61987343 63279623 75917083 112640943 185962029 189838869 227751249 413016791 614238217 681860773 696075853 835087913 1239050373 1842714651 2045582319 2088227559 2505263739 3341681309 4092620929 4543184701 6756620387 10025043927 12277862787 13629554103 20269861161 36758494399 45018830219 74322824257 110275483197 135056490657 222968472771 364243262681 404343438389 495207132409 1092729788043 1213030315167 1485621397227 4006675889491 12020027668473 44073434784401 132220304353203